Question

prove that kinetic energy 1/2mv2

Answer 1

now

let a body of mass moving with the acceleration the force acting on the body will be:

f=ma---------1

if the body is displaced from the rest position to the distance s

then,the work done in the body

w=fs---2

w=(ma)s from 1

if the final velocity of the object is v after moving the distance =

v2=u2+2as

now s=v2/2a----3

putting the value of 3rd in eq 1 we get,

w= ma *   v2 /2a

w=1/2mv2

hope will this help to you ;-)

Answer 2

Refer to the attachment

Hope it helps...